Mathematical Sciences Classification System

83Cxx - General relativity

  • 8
    83C05
    Einstein's equations (general structure, canonical formalism, Cauchy problems)
  • 1
    83C10
    Equations of motion
  • 2
    83C15
    Exact solutions
  • 2
    83C20
    Classes of solutions; algebraically special solutions, metrics with symmetries
  • 3
    83C22
    Einstein-Maxwell equations
  • 83C25
    Approximation procedures, weak fields
  • 83C27
    Lattice gravity, Regge calculus and other discrete methods
  • 2
    83C30
    Asymptotic procedures (radiation, news functions, H-spaces, etc.)
  • 2
    83C35
    Gravitational waves
  • 83C40
    Gravitational energy and conservation laws; groups of motions
  • 4
    83C45
    Quantization of the gravitational field
  • 1
    83C47
    Methods of quantum field theory [See also 81T20]
  • 1
    83C50
    Electromagnetic fields
  • 1
    83C55
    Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)
  • 3
    83C57
    Black holes
  • 8
    83C60
    Spinor and twistor methods; Newman-Penrose formalism
  • 1
    83C65
    Methods of noncommutative geometry [See also 58B34]
  • 2
    83C75
    Space-time singularities, cosmic censorship, etc.
  • 83C80
    Analogues in lower dimensions
  • 83C99
    None of the above, but in this section

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